<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<HTML>
  <HEAD>
    <TITLE> Z + gamma at CDF
    </TITLE>
  </HEAD>

  <style type="text/css">
    body     { margin-left: 5%; margin-right: 5%; }
    h1       { margin-left: +0%; color: #000000}
    h2       { margin-left: +0%; color: #0000FF}
    h3       { margin-left: +2%; color: #AA5500}
    h4,h5,h6 { margin-left: +4%; color: #339966}
    p { color: #000000 }
    blockquote { margin-left: +2%; color: #FF33333 }
    pre { color: #990033 }
  </style>

  <BODY>


    <TABLE BORDER="0" CELLPADDING="4" CELLSPACING="4" WIDTH="100%">

	<TR VALIGN="TOP">
	  <TD ALIGN="LEFT">
	    <IMG ALIGN="CENTER" HEIGHT="64"
              SRC="http://www-cdf.fnal.gov/physics/exotic/img/logo_cdfii.gif"
              ALT="CDF Logo">
	  <TD ALIGN="CENTER">
	    <FONT SIZE="6"><B>
                Z &gamma; Limits on Neutral Anomalous Coupling
                in ppbar Collisions at &radic;s=1.96 TeV
            <B></FONT>

	  <TD ALIGN="RIGHT">
	    <IMG ALIGN="CENTER" HEIGHT="64"
              SRC="http://www-cdf.fnal.gov/physics/exotic/img/logo_cdfii.gif"
              ALT="CDF Logo">
    </TABLE>

    <UL>
      <LI><B>Authors:</B>
	<SCRIPT LANGUAGE="JavaScript" type="text/javascript">
	  <!-- Begin
	  user0 = "jdeng";   
	  name0="Jianrong Deng"; 
	  user1 = "goshaw"; 
	  name1="Al Goshaw"; 
	  user2 = "phillips"; 
	  name2="Thomas Phillips"; 
	  site = "phy.duke.edu";
	  name3 = "Max Goncharov"
	  user3 = "maxi@fnal.gov"

	  document.write('<a href=\"mailto:');
	  document.write( user0 + '@' + site + ',');
 	  document.write( user1 + '@' + site + ',');
	  document.write( user3 + ',');
 	  document.write( user2 + '@' + site + '\">');
	  document.write(name0 + ', ');
	  document.write(name3 + ', ');
	  document.write(name1 + ', ');
	  document.write(name2 + '<\/a>.\n');
	  // End -->
	</SCRIPT>
      </LI>

      <LI><B>Blessed:</B>
	  September 3, 2009 (added neutrino results)
      </LI>

      <LI><B>Data:</B> 
	Run II, 1.1/fb (ee) and 2.0/fb(&mu;&mu; and &nu;&nu;)
      </LI>

<!--      <LI><B>Note:</B>

	  <A
	    HREF="Zg_public_note.pdf">Description with more details</A>
      </LI>
-->
    </UL>
    <!-------------------------------------------->
    <!--            Table of Contents           -->
    <!-------------------------------------------->

    <H2><A NAME="toc"></A>Contents</H2>

    <UL>

      <LI> 
	<A HREF="#intro"> Introduction</A>
      </LI>
      <LI> 
	<A HREF="#results"> Summary of Results</A>

	<UL>
	  <LI>
	    <A HREF="#results_comb"> Electron + Muon + Neutrino Combination </A>
	  </LI>
	  <LI>
	    <A HREF="#results_emucomb"> Electron + Muon Combination </A>
	  </LI>
	  <LI>
	    <A HREF="#results_ee"> Z&gamma;, Z decaying to e<sup>+</sup>e<sup>-</sup></A>
	  </LI>
	  <LI>
	    <A HREF="#results_mumu"> Z&gamma;, Z decaying to &mu;<sup>+</sup>&mu;<sup>-</sup></A>
	  </LI>
		<LI>
	    <A HREF="#results_nunu"> Z&gamma;, Z decaying to &nu;&nu;</A>
	  </LI>

	</UL>
      </LI>

   </UL>

    <!-------------------------------------------->
    <!--            Introduction                -->
    <!-------------------------------------------->

    <H2><A NAME="intro"></A>Abstract</H2>

    <P>
We have measured (Z -> l<sup>+</sup>l<sup>-</sup>)+&gamma; production with central photons using electronic, muonic, 
and invisible (neutrino) Z decays.
The measured cross section for Z+&gamma; where (M<sub>ll</sub> > 40 GeV/c<sup>2</sup>) and
the photon is central, has E<sub>T&gamma;</sub> > 7 GeV, and is separated from both leptons by &Delta;R > 0.7
is &sigma;<sub>obs</sub> = 4.6 &plusmn; 0.2 (stat) &plusmn; 0.3 (syst) &plusmn; 0.3 (lum) picobarns.  This compares to the 
next-to-leading-order calculation of &sigma;<sub>NLO</sub>   = 4.5 &plusmn; 0.3 pb, so the measured value is consistent 
with the expected value.  The measured cross section for the subset of these events with  
M<sub>&mu;&mu;&gamma;</sub> > 100 GeV/c<sup>2</sup> 
(predominently Initial-State-Radiation (ISR) events) is &sigma;<sub>obs</sub> = 1.2 &plusmn; 0.1 (stat) &plusmn; 0.2 (syst) &plusmn; 0.1 
(lum) picobarns.  The kinematic distributions also agree with the expected shapes.
 <P>
These data have been used to set limits on neutral anomalous couplings:  
 </P>

<p>
<!-- <TABLE BORDER="0" CELLPADDING="4" CELLSPACING="4" WIDTH="60%"> -->
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">

<TR VALIGN="TOP">
   
   <TD></TD>
     <TD><b>Observed  </b></TD>
     <TD><b> Expected     </b></TD>
 </TR>
 <TR VALIGN="TOP">   
   <TD><b> |h<sub>3</sub><sup>Z</sup>|</b></TD>
     <TD> < 0.050  </TD>
     <TD> < 0.062 &plusmn;0.014 </TD>
 </TR>
 <TR VALIGN="TOP">   
   <TD><b> |h<sub>4</sub><sup>Z</sup>|</b></TD>
     <TD> < 0.0034  </TD>
     <TD> < 0.0043 &plusmn;0.0009 </TD>
 </TR>
 <TR VALIGN="TOP">   
   <TD><b> |h<sub>3</sub><sup>&gamma;</sup>|</b></TD>
     <TD> < 0.051  </TD>
     <TD> < 0.064 &plusmn;0.014 </TD>
 </TR>
 <TR VALIGN="TOP">   
   <TD><b> |h<sub>4</sub><sup>&gamma;</sup>|</b></TD>
     <TD> < 0.0034  </TD>
     <TD> < 0.0043 &plusmn;0.0009 </TD>
 </TR>

</table>
    </p>

    <!-------------------------------------------->
    <!--           Results                      -->
    <!-------------------------------------------->

    <H2><A NAME="results"></A>Summary of Results</H2>
    
    <!-------------------------------------------->
    <!--          Combination                   -->
    <!-------------------------------------------->

    <H3><A NAME="results_comb">Electron + Muon + Neutrino Combined Results</H3>
    Limits:


<!-- <TABLE BORDER="0" CELLPADDING="4" CELLSPACING="4" WIDTH="100%"> -->
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">


 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin.gif"> <IMG WIDTH="100%" ALT="Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin" SRC="gifPlots/Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin.gif"></a>
   <TD><b>Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin  </b></TD>
     <TR><TD><p>
Likelihood function for h<sub>3</sub><sup>&gamma;</sup> Z-&gamma;-&gamma; vertex.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin.eps"> eps</a>
       <a href="pdfPlots/Lambda_1200_Zgg_h3_ALLC_Likelihood_Rebin.pdf"> pdf</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin.gif"> <IMG WIDTH="100%" ALT="Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin" SRC="gifPlots/Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin.gif"></a>
   <TD><b>Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin  </b></TD>
     <TR><TD><p>
Likelihood function for h<sub>3</sub><sup>Z;</sup> Z-Z-&gamma; vertex.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin.eps"> eps</a>
       <a href="pdfPlots/Lambda_1200_ZZg_h3_ALLC_Likelihood_Rebin.pdf"> pdf</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin.gif"> <IMG WIDTH="100%" ALT="Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin" SRC="gifPlots/Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin.gif"></a>
   <TD><b>Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin  </b></TD>
     <TR><TD><p>
Likelihood function for h<sub>4</sub><sup>&gamma;</sup> Z-&gamma;-&gamma; vertex.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin.eps"> eps</a>
       <a href="pdfPlots/Lambda_1200_Zgg_h4_ALLC_Likelihood_Rebin.pdf"> pdf</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin.gif"> <IMG WIDTH="100%" ALT="Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin" SRC="gifPlots/Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin.gif"></a>
   <TD><b>Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin  </b></TD>
     <TR><TD><p>
Likelihood function for h<sub>4</sub><sup>Z;</sup> Z-Z-&gamma; vertex.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin.eps"> eps</a>
       <a href="pdfPlots/Lambda_1200_ZZg_h4_ALLC_Likelihood_Rebin.pdf"> pdf</a>
     </b></TD></TR>

</table>

    <!-------------------------------------------->
    <!--          Combination                   -->
    <!-------------------------------------------->

    <H3><A NAME="results_emucomb">Combined electron + muon Results</H3>
<P>
Limits from electron and muon data only:
</p>
<P>
<a href="pdfPlots/LimitTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/LimitTable.gif"></a>
</p>
<P>
Summary of Z&gamma; ( Z  to electrons + Z to muons) data including the measured cross section 
for both the final-state radiation (FSR) and initial-state radiation (ISR):  
 </P>
 <P>

<a href="pdfPlots/FSR-ISR-e-muTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/FSR-ISR-e-muTable.gif"></a>
    </P>

<P>
Summary of Z&gamma; ( Z  to electrons + Z to muons) data including the measured cross section 
for the final-state radiation (FSR) dominated region (three-body mass less than 100 GeV/c^2):  
 </P>
 <P>

<a href="pdfPlots/FSR-e-muTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/FSR-e-muTable.gif"></a>
    </P>
<P>
Summary of Z&gamma; ( Z  to electrons + Z to muons) data including the measured cross section 
for the initial-state radiation (ISR) dominated region (three-body mass greater than 100 GeV/c^2):  
 </P>
 <P>

<a href="pdfPlots/ISR-e-muTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/ISR-e-muTable.gif"></a>
    </P>

<!-- <TABLE BORDER="0" CELLPADDING="4" CELLSPACING="4" WIDTH="100%"> -->
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Et_7GeV_ZeeZmm.gif"> <IMG WIDTH="100%" ALT="Et_7GeV_ZeeZmm" SRC="gifPlots/Et_7GeV_ZeeZmm.gif"></a>
   <TD><b>Et_7GeV_ZeeZmm  </b></TD>
     <TR><TD><p>
Photon Et in the Z &rarr; ee and the Z &rarr; &mu;&mu; datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Et_7GeV_ZeeZmm.eps"> eps</a>
       <a href="pdfPlots/Et_7GeV_ZeeZmm.pdf"> pdf</a>
       <a href="gifPlots/Et_7GeV_ZeeZmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Delta_Ra_ZeeZmm.gif"> <IMG WIDTH="100%" ALT="Delta_Ra_ZeeZmm" SRC="gifPlots/Delta_Ra_ZeeZmm.gif"></a>
   <TD><b>Delta_Ra_ZeeZmm  </b></TD>
     <TR><TD><p>
Separation (Delta Ra) between leading lepton and photon (Et > 7 GeV) in the Z &rarr; ee and the Z &rarr; &mu;&mu; datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Delta_Ra_ZeeZmm.eps"> eps</a>
       <a href="pdfPlots/Delta_Ra_ZeeZmm.pdf"> pdf</a>
       <a href="gifPlots/Delta_Ra_ZeeZmm.gif"> gif</a>
     </b></TD></TR>
 
 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Delta_Rb_ZeeZmm.gif"> <IMG WIDTH="100%" ALT="Delta_Rb_ZeeZmm" SRC="gifPlots/Delta_Rb_ZeeZmm.gif"></a>
   <TD><b>Delta_Rb_ZeeZmm  </b></TD>
     <TR><TD><p>
Separation (Delta Rb) between non-leading lepton and photon (Et > 7 GeV) in the Z &rarr; ee and the Z &rarr; &mu;&mu; datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Delta_Rb_ZeeZmm.eps"> eps</a>
       <a href="pdfPlots/Delta_Rb_ZeeZmm.pdf"> pdf</a>
       <a href="gifPlots/Delta_Rb_ZeeZmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/llgMass10GeV_Zll_log.gif"> <IMG WIDTH="100%" ALT="llgMass10GeV_Zll_log" SRC="gifPlots/llgMass10GeV_Zll_log.gif"></a>
   <TD><b>llgMass10GeV_Zll_log  </b></TD>
     <TR><TD><p>
M<sub>ll&gamma;</sub> distribution in the Z &rarr; &mu;&mu; + Z &rarr; ee datasets for events with photon Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/llgMass10GeV_Zll_log.eps"> eps</a>
       <a href="pdfPlots/llgMass10GeV_Zll_log.pdf"> pdf</a>
       <a href="gifPlots/llgMass10GeV_Zll_log.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/llgMass10GeV_Zll.gif"> <IMG WIDTH="100%" ALT="llgMass10GeV_Zll" SRC="gifPlots/llgMass10GeV_Zll.gif"></a>
   <TD><b>llgMass10GeV_Zll  </b></TD>
     <TR><TD><p>
M<sub>ll&gamma;</sub> distribution in the Z &rarr; &mu;&mu; + Z &rarr; ee datasets for events with photon Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/llgMass10GeV_Zll.eps"> eps</a>
       <a href="pdfPlots/llgMass10GeV_Zll.pdf"> pdf</a>
       <a href="gifPlots/llgMass10GeV_Zll.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MllVsMllg1GeV_Zll.gif"> <IMG WIDTH="100%" ALT="MllVsMllg1GeV_Zll" SRC="gifPlots/MllVsMllg1GeV_Zll.gif"></a>
   <TD><b>MllVsMllg1GeV_Zll  </b></TD>
     <TR><TD><p>
M<sub>ll</sub> - M<sub>ll&gamma;</sub> distribution 
in the Z &rarr; &mu;&mu; + Z &rarr; ee datasets for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MllVsMllg1GeV_Zll.eps"> eps</a>
       <a href="pdfPlots/MllVsMllg1GeV_Zll.pdf"> pdf</a>
       <a href="gifPlots/MllVsMllg1GeV_Zll.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MllVsMllg1GeVMC_Zll.gif"> <IMG WIDTH="100%" ALT="MllVsMllg1GeVMC_Zll" SRC="gifPlots/MllVsMllg1GeVMC_Zll.gif"></a>
   <TD><b>MllVsMllg1GeVMC_Zll  </b></TD>
     <TR><TD><p>
M<sub>ll</sub> - M<sub>ll&gamma;</sub> distribution 
in the Z &rarr; &mu;&mu; + Z &rarr; ee Monte Carlo (Baur) dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MllVsMllg1GeVMC_Zll.eps"> eps</a>
       <a href="pdfPlots/MllVsMllg1GeVMC_Zll.pdf"> pdf</a>
       <a href="gifPlots/MllVsMllg1GeVMC_Zll.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MllVsMllg1GeVBkg.gif"> <IMG WIDTH="100%" ALT="MllVsMllg1GeVBkg" SRC="gifPlots/MllVsMllg1GeVBkg.gif"></a>
   <TD><b>MllVsMllg1GeVBkg  </b></TD>
     <TR><TD><p>
Z + jet and &gamma; + fake Z background to the M<sub>ll</sub> - M<sub>ll&gamma;</sub> distribution 
in the Z &rarr; &mu;&mu; + Z &rarr; ee dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MllVsMllg1GeVBkg.eps"> eps</a>
       <a href="pdfPlots/MllVsMllg1GeVBkg.pdf"> pdf</a>
       <a href="gifPlots/MllVsMllg1GeVBkg.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MllVsMllg1GeVAll.gif"> <IMG WIDTH="100%" ALT="MllVsMllg1GeVAll" SRC="gifPlots/MllVsMllg1GeVAll.gif"></a>
   <TD><b>MllVsMllg1GeVAll  </b></TD>
     <TR><TD><p>
Z&gamma; overlaid on Monte Carlo + jet background to the M<sub>&mu;&mu;</sub> - M<sub>&mu;&mu;&gamma;</sub> distribution 
in the Z &rarr; &mu;&mu; + Z &rarr; ee dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MllVsMllg1GeVAll.eps"> eps</a>
       <a href="pdfPlots/MllVsMllg1GeVAll.pdf"> pdf</a>
       <a href="gifPlots/MllVsMllg1GeVAll.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Mll_10GeV_Zmm.gif"> <IMG WIDTH="100%" ALT="Mll_10GeV_Zmm" SRC="gifPlots/Mll_10GeV_Zmm.gif"></a>
   <TD><b>Mll_10GeV_Zmm  </b></TD>
     <TR><TD><p>
M<sub>ll</sub> distribution in the Z &rarr; &mu;&mu; + Z &rarr; ee datasets for events with photon Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Mll_10GeV_Zmm.eps"> eps</a>
       <a href="pdfPlots/Mll_10GeV_Zmm.pdf"> pdf</a>
       <a href="gifPlots/Mll_10GeV_Zmm.gif"> gif</a>
     </b></TD></TR>


  <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX" SRC="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"></a>
   <TD><b>EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX  </b></TD>
     <TR><TD><p>
Photon Et in the Z&rarr; &mu;<sup>+</sup>&mu;<sup>-</sup> plus Z&rarr; e<sup>+</sup>e<sup>-</sup> datasets.  The solid blue line is the Standard Model prediction, while the dashed red line is the anomalous coupling prediction for $h_4^Z = 0.0047$.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.eps"> eps</a>
       <a href="pdfPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"> gif</a>
     </b></TD></TR>

  <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1" SRC="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"></a>
   <TD><b>EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1  </b></TD>
     <TR><TD><p>
Same plot as above, but with an expanded range on the y-axis to show the Standard Model prediction in the two highest bins.     </p></TD></TR>
     <TR><TD><b>       
       <a href="pdfPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"> gif</a>
     </b></TD></TR>


</table>
<BR>

These electron + muon data have been used to set limits on neutral anomalous couplings:  
 </P>
 <P>

<a href="pdfPlots/LimitTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/LimitTable.gif"></a>
    </P>

<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit" SRC="gifPlots/EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"></a>
   <TD><b>EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit  </b></TD>
     <TR><TD><p>
Fit for h<sub>3</sub><sup>&gamma;</sup> with the Z&rarr; &mu;<sup>+</sup>&mu;<sup>-</sup> plus Z&rarr; e<sup>+</sup>e<sup>-</sup> datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit.eps"> eps</a>
       <a href="pdfPlots/EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_Zgg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit" SRC="gifPlots/EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"></a>
   <TD><b>EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit  </b></TD>
     <TR><TD><p>
Fit for h<sub>4</sub><sup>&gamma;</sup> with the Z&rarr; &mu;<sup>+</sup>&mu;<sup>-</sup> plus Z&rarr; e<sup>+</sup>e<sup>-</sup> datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit.eps"> eps</a>
       <a href="pdfPlots/EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_Zgg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit" SRC="gifPlots/EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"></a>
   <TD><b>EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit  </b></TD>
     <TR><TD><p>
Fit for h<sub>3</sub><sup>Z</sup> with the Z&rarr; &mu;<sup>+</sup>&mu;<sup>-</sup> plus Z&rarr; e<sup>+</sup>e<sup>-</sup> datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit.eps"> eps</a>
       <a href="pdfPlots/EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h3_ALLC_2DeltaLogLikelihood_Fit.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"> <IMG WIDTH="100%" ALT="EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit" SRC="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"></a>
   <TD><b>EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit  </b></TD>
     <TR><TD><p>
Fit for h<sub>4</sub><sup>Z</sup> with the Z&rarr; &mu;<sup>+</sup>&mu;<sup>-</sup> plus Z&rarr; e<sup>+</sup>e<sup>-</sup> datasets.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit.eps"> eps</a>
       <a href="pdfPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit.pdf"> pdf</a>
       <a href="gifPlots/EleMuon-Lambda_1200_ZZg_h4_ALLC_2DeltaLogLikelihood_Fit.gif"> gif</a>
     </b></TD></TR>

</table>

    <!-------------------------------------------->
    <!--           electron                     -->
    <!-------------------------------------------->

    <H3><A NAME="results_ee"></A> Z&gamma;, Z decaying to e<sup>+</sup>e<sup>-</sup> (1 fb<sup>-1</sup>)</H3>
	

<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">
	 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"> <IMG WIDTH="100%" ALT="Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX" SRC="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"></a>
   <TD><b>Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX  </b></TD>
     <TR><TD><p>
Photon Et in the Z&rarr; e<sup>+</sup>e<sup>-</sup> dataset.  The solid blue line is the Standard Model prediction, while the dashed red line is the anomalous coupling prediction for $h_4^Z = 0.0074$.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.eps"> eps</a>
       <a href="pdfPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.pdf"> pdf</a>
       <a href="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX.gif"> gif</a>
     </b></TD></TR>

  <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"> <IMG WIDTH="100%" ALT="Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1" SRC="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"></a>
   <TD><b>Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1  </b></TD>
     <TR><TD><p>
Same plot as above, but with an expanded range on the y-axis to show the Standard Model prediction in the two highest bins.     </p></TD></TR>
     <TR><TD><b>       
       <a href="pdfPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.pdf"> pdf</a>
       <a href="gifPlots/Ele-Lambda_1200_ZZg_h4_ALLC_gammaEt_LogX1.gif"> gif</a>
     </b></TD></TR>
	 

</table>
<BR>

These electron data have been used to set limits on neutral anomalous couplings:  
 </P>
 <P>

<a href="pdfPlots/EleLimitTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/EleLimitTable.gif"></a>
    </P>

    <!-------------------------------------------->
    <!--             muon                       -->
    <!-------------------------------------------->

    <H3><A NAME="results_mumu"></A> Z&gamma;, Z decaying to &mu;<sup>+</sup>&mu;<sup>-</sup>(2 fb<sup>-1</sup>)</H3>
                                                                                
<!-- <TABLE BORDER="0" CELLPADDING="4" CELLSPACING="4" WIDTH="100%"> -->
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">

  <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Et_7GeV_Zmm.gif"> <IMG WIDTH="100%" ALT="Et_7GeV_Zmm" SRC="gifPlots/Et_7GeV_Zmm.gif"></a>
   <TD><b>Et_7GeV_Zmm  </b></TD>
     <TR><TD><p>
Photon Et in the Z &rarr; &mu;&mu; dataset.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Et_7GeV_Zmm.eps"> eps</a>
       <a href="pdfPlots/Et_7GeV_Zmm.pdf"> pdf</a>
       <a href="gifPlots/Et_7GeV_Zmm.gif"> gif</a>
     </b></TD></TR>
  
 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Delta_Ra_Zmm.gif"> <IMG WIDTH="100%" ALT="Delta_Ra_Zmm" SRC="gifPlots/Delta_Ra_Zmm.gif"></a>
   <TD><b>Delta_Ra_Zmm  </b></TD>
     <TR><TD><p>
Separation (Delta Ra) between leading muon and photon (Et > 7 GeV) in the Z &rarr; &mu;&mu; dataset.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Delta_Ra_Zmm.eps"> eps</a>
       <a href="pdfPlots/Delta_Ra_Zmm.pdf"> pdf</a>
       <a href="gifPlots/Delta_Ra_Zmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Delta_Rb_Zmm.gif"> <IMG WIDTH="100%" ALT="Delta_Rb_Zmm" SRC="gifPlots/Delta_Rb_Zmm.gif"></a>
   <TD><b>Delta_Rb_Zmm  </b></TD>
     <TR><TD><p>
Separation (Delta Rb) between non-leading muon and photon (Et > 7 GeV) in the Z &rarr; &mu;&mu; dataset.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Delta_Rb_Zmm.eps"> eps</a>
       <a href="pdfPlots/Delta_Rb_Zmm.pdf"> pdf</a>
       <a href="gifPlots/Delta_Rb_Zmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/mmgMass10GeV_Zmm.gif"> <IMG WIDTH="100%" ALT="mmgMass10GeV_Zmm" SRC="gifPlots/mmgMass10GeV_Zmm.gif"></a>
   <TD><b>mmgMass10GeV_Zmm  </b></TD>
     <TR><TD><p>
M<sub>&mu;&mu;&gamma;</sub>$ distribution in the Z &rarr; &mu;&mu; dataset for events with photon Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/mmgMass10GeV_Zmm.eps"> eps</a>
       <a href="pdfPlots/mmgMass10GeV_Zmm.pdf"> pdf</a>
       <a href="gifPlots/mmgMass10GeV_Zmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MmumuVsMmumug1GeV_Zmm.gif"> <IMG WIDTH="100%" ALT="MmumuVsMmumug1GeV_Zmm" SRC="gifPlots/MmumuVsMmumug1GeV_Zmm.gif"></a>
   <TD><b>MmumuVsMmumug1GeV_Zmm  </b></TD>
     <TR><TD><p>
M<sub>&mu;&mu;</sub> - M<sub>&mu;&mu;&gamma;</sub>$ distribution 
	in the Z &rarr; &mu;&mu; dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MmumuVsMmumug1GeV_Zmm.eps"> eps</a>
       <a href="pdfPlots/MmumuVsMmumug1GeV_Zmm.pdf"> pdf</a>
       <a href="gifPlots/MmumuVsMmumug1GeV_Zmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MmumuVsMmumug1GeVMC_Zmm.gif"> <IMG WIDTH="100%" ALT="MmumuVsMmumug1GeVMC_Zmm" SRC="gifPlots/MmumuVsMmumug1GeVMC_Zmm.gif"></a>
   <TD><b>MmumuVsMmumug1GeVMC_Zmm  </b></TD>
     <TR><TD><p>
M<sub>&mu;&mu;</sub> - M<sub>&mu;&mu;&gamma;</sub>$ distribution 
in the Z &rarr; &mu;&mu; Monte Carlo (Baur) dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MmumuVsMmumug1GeVMC_Zmm.eps"> eps</a>
       <a href="pdfPlots/MmumuVsMmumug1GeVMC_Zmm.pdf"> pdf</a>
       <a href="gifPlots/MmumuVsMmumug1GeVMC_Zmm.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MmumuVsMmumug1GeVBkg.gif"> <IMG WIDTH="100%" ALT="MmumuVsMmumug1GeVBkg" SRC="gifPlots/MmumuVsMmumug1GeVBkg.gif"></a>
   <TD><b>MmumuVsMmumug1GeVBkg  </b></TD>
     <TR><TD><p>
Z + jet background to the M<sub>&mu;&mu;</sub> - M<sub>&mu;&mu;&gamma;</sub>$ distribution 
in the Z &rarr; &mu;&mu; dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MmumuVsMmumug1GeVBkg.eps"> eps</a>
       <a href="pdfPlots/MmumuVsMmumug1GeVBkg.pdf"> pdf</a>
       <a href="gifPlots/MmumuVsMmumug1GeVBkg.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/MmumuVsMmumug1GeVAll.gif"> <IMG WIDTH="100%" ALT="MmumuVsMmumug1GeVAll" SRC="gifPlots/MmumuVsMmumug1GeVAll.gif"></a>
   <TD><b>MmumuVsMmumug1GeVAll  </b></TD>
     <TR><TD><p>
Z&gamma; overlaid on Monte Carlo + jet background to the M<sub>&mu;&mu;</sub> - M<sub>&mu;&mu;&gamma;</sub>$ distribution 
in the Z &rarr; &mu;&mu; dataset for photons with Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/MmumuVsMmumug1GeVAll.eps"> eps</a>
       <a href="pdfPlots/MmumuVsMmumug1GeVAll.pdf"> pdf</a>
       <a href="gifPlots/MmumuVsMmumug1GeVAll.gif"> gif</a>
     </b></TD></TR>

 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/Mmm_10GeV_Zmm.gif"> <IMG WIDTH="100%" ALT="Mmm_10GeV_Zmm" SRC="gifPlots/Mmm_10GeV_Zmm.gif"></a>
   <TD><b>Mmm_10GeV_Zmm  </b></TD>
     <TR><TD><p>
M<sub>&mu;&mu;</sub>$ distribution in the Z &rarr; &mu;&mu; dataset for events with photon Et > 7 GeV.     </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/Mmm_10GeV_Zmm.eps"> eps</a>
       <a href="pdfPlots/Mmm_10GeV_Zmm.pdf"> pdf</a>
       <a href="gifPlots/Mmm_10GeV_Zmm.gif"> gif</a>
     </b></TD></TR>

</table>
<BR>

These muon data have been used to set limits on neutral anomalous couplings:  
 </P>
 <P>

<a href="pdfPlots/MuLimitTable.pdf"> <IMG WIDTH="50%" ALT="Limit Table" SRC="gifPlots/MuLimitTable.gif"></a>
    </P>

    <!-------------------------------------------->
    <!--           neutrino                     -->
    <!-------------------------------------------->

    <H3><A NAME="results_ee"></A> Z&gamma;, Z decaying to &nu;&nu;</H3>
	
<TABLE BORDER="0" CELLPADDING="0" CELLSPACING="8">
	 <TR VALIGN="TOP">
   <TD rowspan="3">  <a href="gifPlots/phoEt_data_log.gif"> <IMG WIDTH="100%" ALT="phoEt_data_log" SRC="gifPlots/phoEt_data_log.gif"></a>
   <TD><b> phoEt_data_log </b></TD>
     <TR><TD><p>
Photon Et in the photon + missing Et dataset.       </p></TD></TR>
     <TR><TD><b>       <a href="epsPlots/phoEt_data_log.eps"> eps</a>
       <a href="pdfPlots/phoEt_data_log.pdf"> pdf</a>
     </b></TD></TR>
</table>
<BR>


<BR>
   <SMALL>
   <A HREF="mailto:thomas.phillips@duke.edu">Contact</A>,
   <A HREF="http://www.fnal.gov/pub/disclaim.html">Legal Notices</A>, and
   <A HREF="http://www.fnal.gov/cd/main/cpolicy.html">Fermilab Policy on Computing</A>
   </SMALL>

                                                                       </body>
																	   												   
</html>




 


